Syllabus

 

The course covers fundamental concepts  of the probability theory. The introductory part presents  basics of the set theory  and the combinatorial analysis. Then, concepts of  probability, conditional probabilty and independence are introduced . One and two dimensional random variables  under discrete and continous cases follow.  The expected value and the variance of a random variable,  as well as Tchebychev Inequality, Law of Large Numbers and Central Limit Theorem  are discussed at the last part.

This course includes problem sessions.

Knowledge of multivariate calculus is necessary for this course.

Syllabus